Modulation effect with global ambiguity in 2-dimensional random walk

Tomoko Sakiyama, Yukio Gunji

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    Here, we developed 2-dimensional multi agent random walk algorithm. In our algorithm, agents interact with each other and change their directional rules by detecting other agents' moving direction locally. In addition to that, modulation effects in which agents control rule intervals depending on amount of local other agents are equipped to our model. We show that modulation effects which introduce global ambiguity play a crucial role to establish optimal random walk by checking the slope value (μ) depending on dense of agents. We set modulation-added model and non-modulation model. The latter is control model. In case of non-modulation model, the slope values (μ) highly depends on dense of agents. However, in case of modulation-added model, the slope values (μ) are flexible and independent from dense of agents.

    Original languageEnglish
    Title of host publicationAIP Conference Proceedings
    PublisherAmerican Institute of Physics Inc.
    Volume1648
    ISBN (Print)9780735412873
    DOIs
    Publication statusPublished - 2015 Mar 10
    EventInternational Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 - Rhodes, Greece
    Duration: 2014 Sep 222014 Sep 28

    Other

    OtherInternational Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014
    CountryGreece
    CityRhodes
    Period14/9/2214/9/28

    Keywords

    • Interaction
    • Lévy-walk
    • Multi-agent model
    • Power-law
    • Random Walk

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

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  • Cite this

    Sakiyama, T., & Gunji, Y. (2015). Modulation effect with global ambiguity in 2-dimensional random walk. In AIP Conference Proceedings (Vol. 1648). [580010] American Institute of Physics Inc.. https://doi.org/10.1063/1.4912818